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Finding the Fourth Proportional to 474,465.60, 711,698.40 and 430,142.40

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Solution

The fourth proportional to 474,465.60, 711,698.40 and 430,142.40 is: 645,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,465.60 : 711,698.40 = 430,142.40 : x
  2. Step 2: Convert to fraction form
    474,465.60/711,698.40 = 430,142.40/x
  3. Step 3: Cross multiply
    474,465.60x = 711,698.40 × 430,142.40
  4. Step 4: Simplify right side
    474,465.60x = 306,131,657,852.16
  5. Step 5: Solve for x
    x = 306,131,657,852.16/474,465.60
  6. Step 6: Final answer
    x = 645,213.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.